Question

He variance of 5 values is 16. If each value is doubled, find the standard deviation of the new value.

Answer 1

Answer:

S.D =√variance

but the variance will not change and thus the s.d will also remains same I.e √16=4

Answer 2

Answer:

The new value = 8

Step-by-step explanation:

Given,  variance of 5 values = 16

Therefore standard deviation of the the 5 values

= $\sqrt{\text{Variance}}$

= $\sqrt{16}$

= $4$

It is worth to remember that if every value is multiplied or divided by by the same number, the standard deviation changes by that number, i.e. the standard deviation also gets multiplied or divided by the number

Therefore, in this question when each value is multiplied by 2 the standard deviation will also get multiplied by 2

The new standard deviation = 2 × 4

                                               = 8